Many jets do a power back from gates at the major airports.
All of our Aircraft can back up if necessary.
I have "witnessed" our turboprops backed into their parking spaces at
our hangar. You do not use the brakes though when backing up. They grab
and up end up doing a tail stand. (not good)
These would be a Jetstream 4100 and our Canadair Regional Jets
Michelle

wrote:

Has a fixed-wing plane ever been made that could back up under its own
power?